On Newton's method applied to real polynomials

DOI10.1080/10236198.2010.547493zbMath1243.65048OpenAlexW2140661662MaRDI QIDQ2895665

Figen Çilingir, Xavier Jarque

Publication date: 4 July 2012

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150565

zbMATH Keywords

Newton's methodbasin of attractionreal polynomialscomplex functionrational iteration

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of roots of polynomial equations (65H04)

Related Items

Newton maps of complex exponential functions and parabolic surgery ⋮ Disconnected Julia set of Halley's method for exponential maps

Cites Work

• Families of rational maps and iterative root-finding algorithms
• On infinite area for complex exponential function
• Complex analytic dynamics on the Riemann sphere
• Newton’s method on the complex exponential function
• FINITENESS OF THE AREA OF BASINS OF ATTRACTION OF RELAXED NEWTON METHOD FOR CERTAIN HOLOMORPHIC FUNCTIONS
• How to find all roots of complex polynomials by Newton's method.